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Magic Number Patterns Worksheet

Maths tricks trick 9: Magic number patterns · Set 225 · 40 questions
TalentJR

The trick (Spot the pattern): 37 × 3 = 111, so 37 × (3 × k) is k written three times. 12345679 × 9 = 111111111, so 12345679 × (9 × k) is k written nine times. 1 × 8 + 1 = 9, 12 × 8 + 2 = 98, 123 × 8 + 3 = 987 …; and 11 × 11 = 121, 111 × 111 = 12321.

NameDateTime takenScore ___ / 40
  1. 1.37 × 6 =
  2. 2.12345679 × 45 =
  3. 3.111111 × 111111 =
  4. 4.1111 × 1111 =
  5. 5.1234 × 9 + 5 =
  6. 6.1234 × 8 + 4 =
  7. 7.123 × 9 + 4 =
  8. 8.12345679 × 63 =
  9. 9.12 × 8 + 2 =
  10. 10.123 × 8 + 3 =
  11. 11.37 × 3 =
  12. 12.37 × 9 =
  13. 13.12345679 × 72 =
  14. 14.37 × 24 =
  15. 15.12345679 × 27 =
  16. 16.37 × 15 =
  17. 17.12345679 × 36 =
  18. 18.12345 × 9 + 6 =
  19. 19.12345679 × 18 =
  20. 20.37 × 21 =
  21. 21.12345679 × 81 =
  22. 22.111 × 111 =
  23. 23.123456 × 8 + 6 =
  24. 24.11111 × 11111 =
  25. 25.123456 × 9 + 7 =
  26. 26.12345679 × 9 =
  27. 27.12 × 9 + 3 =
  28. 28.12345 × 8 + 5 =
  29. 29.1234567 × 9 + 8 =
  30. 30.12 × 8 + 2 =
  31. 31.123456789 × 8 + 9 =
  32. 32.12345678 × 8 + 8 =
  33. 33.1234567 × 8 + 7 =
  34. 34.12345679 × 54 =
  35. 35.12345678 × 9 + 9 =
  36. 36.1234 × 9 + 5 =
  37. 37.37 × 18 =
  38. 38.11 × 11 =
  39. 39.37 × 27 =
  40. 40.123456789 × 8 + 9 =

Answer key

  1. 222
  2. 555555555
  3. 12345654321
  4. 1234321
  5. 11111
  6. 9876
  7. 1111
  8. 777777777
  9. 98
  10. 987
  11. 111
  12. 333
  13. 888888888
  14. 888
  15. 333333333
  16. 555
  17. 444444444
  18. 111111
  19. 222222222
  20. 777
  21. 999999999
  22. 12321
  23. 987654
  24. 123454321
  25. 1111111
  26. 111111111
  27. 111
  28. 98765
  29. 11111111
  30. 98
  31. 987654321
  32. 98765432
  33. 9876543
  34. 666666666
  35. 111111111
  36. 11111
  37. 666
  38. 121
  39. 999
  40. 987654321

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